Pith Number

pith:PWAJDWM4

pith:2018:PWAJDWM4BSTNZKA27QAAHZB5NV

not attested not anchored not stored refs pending

Geometric Dynamics of a Harmonic Oscillator, Arbitrary Minimal Uncertainty States and the Smallest Step 3 Nilpotent Lie Group

Fadhel Almalki, Vladimir V. Kisil

arxiv:1805.01399 v5 · 2018-05-03 · math-ph · math.MP · math.RT · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWAJDWM4BSTNZKA27QAAHZB5NV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:44:04.698012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8091d99c0ca6dca81afc0003e43d6d51f20276dcf2a383efda2a8ea70f41e9

Aliases

arxiv: 1805.01399 · arxiv_version: 1805.01399v5 · doi: 10.48550/arxiv.1805.01399 · pith_short_12: PWAJDWM4BSTN · pith_short_16: PWAJDWM4BSTNZKA2 · pith_short_8: PWAJDWM4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWAJDWM4BSTNZKA27QAAHZB5NV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7d8091d99c0ca6dca81afc0003e43d6d51f20276dcf2a383efda2a8ea70f41e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41a48a7216bff8fa42b39c9c16c38d34f9e3dff981e5edbcd092aac5ea5d646",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-05-03T16:14:14Z",
    "title_canon_sha256": "1767dddb95f2a66be09add95dfd1c2020ecd36a30252cb7b00badf37c2dca6d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01399",
    "kind": "arxiv",
    "version": 5
  }
}